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If y(1),y(2) and y(3) are the ordinates ...

If `y_(1),y_(2)` and `y_(3)` are the ordinates of the vertices of a triangle inscribed in the parabola `y^(2)=4ax` then its area is

A

`(1)/(2a)(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))`

B

`(1)/(4a)(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))`

C

`(1)/(8a)(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The length of the chord of contact of tangents drawn from (x(1),y(1)) ...

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  2. The area of the triangle formed by the tangents and chord of contact f...

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  3. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

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  4. The area of the triangle inscribed in the parabola y^(2)=4x the ordina...

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  5. The tangents to the parabola y^(2)=4ax at P(t(1)) and Q (t(2)) inters...

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  6. The orthocentre of the triangle formed by three tangents to the parabo...

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  7. Prove that the orthocentre of the triangle formed by any three tangent...

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  8. The feet of the perpendiculars drawn from the focus of a parabola to t...

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  9. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  10. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  11. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  12. PSQ is a focal chord of a parabola whose focus is S and vertex A . PA ...

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  13. If L,M,N are the three points on the parabola y^(2) = 4ax whose ordin...

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  14. The equation of the normal to the parabola y^(2)=8x at the point t is

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  15. The slope of the normal at (at^(2),2at) of the parabola y^(2)=4ax is

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  16. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  17. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  18. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

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  19. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

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  20. If the normals at the point t(1) and t(2) on y^(2)=4ax intersect at t...

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